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If the roots of the equation 3x^2 - 6x + 5 = 0 are a and b, then find the quadratic whose roots are a + b and 2/(a + b).

 Aug 15, 2021
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If the roots of the equation 3x^2 - 6x + 5 = 0 are a and b, then find the quadratic whose roots are a + b and 2/(a + b).

 

x^2-2x+5/3=0

 

a+b=2

ab=5/3

 

x^2-(2+1)x+2=0

 

x^2-3x+2=0

 

Yay!

 Aug 15, 2021

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